Pregunta
5. What is the diameter of a circle with a circumference of 10.99 feet?
Ask by Long Brooks. in the United States
Mar 12,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The diameter of the circle is approximately 3.5 feet.
Solución
To find the diameter of a circle given its circumference, we can use the formula:
\[ \text{Diameter} = \frac{\text{Circumference}}{\pi} \]
Given that the circumference of the circle is 10.99 feet, we can substitute this value into the formula to find the diameter.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{10.99}{\pi }\)
- step1: Convert the expressions:
\(\frac{\frac{1099}{100}}{\pi }\)
- step2: Multiply by the reciprocal:
\(\frac{1099}{100}\times \frac{1}{\pi }\)
- step3: Multiply the fractions:
\(\frac{1099}{100\pi }\)
The diameter of the circle with a circumference of 10.99 feet is approximately 3.498226 feet.
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Simplifique esta solución The Deep Dive
To find the diameter of a circle from its circumference, you can use the formula: Diameter = Circumference / π. Since the circumference given is 10.99 feet, you can plug that value into the equation: Diameter = 10.99 / 3.14159, which gives you approximately 3.50 feet. Voila! You've got your diameter! Did you know that ancient civilizations, like the Egyptians and Babylonians, had a solid grasp on the properties of circles? They utilized them in architectural designs and calculations, significantly influencing geometry’s development. Their fascination with circles was not just mathematical magic; it also reflected in their art and symbolism, representing eternity and the heavens!
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